Method and device for modeling and simulating centrifugal pump under multiple working conditions
By constructing a centrifugal pump model using a two-fluid six-equation model and a constitutive closed equation, the design difficulties of centrifugal pumps under multiphase working conditions were solved, simulation modeling under multiple working conditions was realized, and the accuracy of the model and the operating performance of the equipment were improved.
Patent Information
- Application Number
- CN202510768922.5
- Authority / Receiving Office
- CN · China
- Patent Type
- Applications(China)
- Current Assignee / Owner
- Filing Date
- 2025-06-10
- Publication Date
- 2025-10-17
AI Technical Summary
Existing centrifugal pump designs are difficult to cope with multi-phase working scenarios, especially when liquid and gas or solid phases coexist, resulting in reduced head and efficiency, and easily causing vibration and noise, shortening equipment life.
The two-fluid six-equation model is used to construct the basic model of the centrifugal pump. Combined with the constitutive closed equation and the preset centrifugal pump characteristic curve, the homologous centrifugal pump model is iteratively constructed to realize simulation modeling under multiple working conditions, including the vapor-liquid mass conservation, momentum conservation, and energy conservation equations. The interface is defined to transfer physical variables and form a hybrid power equation.
The accuracy and efficiency of simulation modeling of centrifugal pumps under multiphase conditions have been improved, which can effectively predict head and flow, extend equipment life, and reduce vibration and noise.
Smart Images

Figure CN120805320A_ABST
Abstract
Description
TECHNICAL FIELD
[0001] The present application belongs to the technical field of nuclear power, and particularly relates to a modeling simulation method and device for a centrifugal pump under multiple working conditions. BACKGROUND
[0002] A centrifugal pump is a device for conveying liquid by using the centrifugal force generated when an impeller rotates. Its working principle is as follows: when the pump body is filled with liquid, the impeller rotates to generate centrifugal force, and the liquid is thrown to the edge of the impeller under the action of the centrifugal force to obtain velocity energy and be discharged. At this time, the pressure at the center of the impeller is reduced, and the liquid continuously flows from the suction port of the pump to the center of the impeller. The discharged liquid enters the diffuser pipe, the cross section increases, the flow rate decreases, and the pressure increases. The impeller in motion gives the electric energy of the motor to the liquid, and the liquid obtains energy to increase the pressure.
[0003] The design of a centrifugal pump is usually based on a single-phase liquid. If the medium in the centrifugal pump simultaneously contains liquid phase and gas phase or solid phase (such as liquid containing gas bubbles, or slurry containing solid particles, or flash evaporation in a high-temperature water pump), the gas phase or solid phase will occupy the flow passage, which will cause a significant reduction in the head and efficiency of the centrifugal pump, and easily cause vibration, noise and cavitation. As a result, the service life of the centrifugal pump is shortened. In view of this, how to design a centrifugal pump to cope with the multiple-phase working scenario has become a problem to be solved. SUMMARY
[0004] In order to overcome the problems in the related art, a modeling simulation method and device for a centrifugal pump under multiple working conditions are provided.
[0005] According to an aspect of an embodiment of the present disclosure, a modeling simulation method for a centrifugal pump under multiple working conditions is provided, and the method comprises:
[0006] Step 1: receiving a model construction request, selecting a two-fluid six-equation construction centrifugal pump basic model from a preset model library, wherein the centrifugal pump basic model comprises a hybrid dynamic equation obtained by fusing a constitutive closed equation, a vapor-liquid mass conservation equation, a vapor-liquid momentum conservation equation and a vapor-liquid energy conservation equation;
[0007] Step 2: constructing a dimensionless homologous centrifugal pump model according to a preset centrifugal pump characteristic curve;
[0008] Step 3: iterating based on the homologous centrifugal pump model, and if the topological structure relationship between each component in the iterated model meets the constraint relationship of each equation in the centrifugal pump basic model, the iterated model is taken as a centrifugal pump simulation model.
[0009] In a possible implementation, the basic model of the centrifugal pump and the homologous centrifugal pump model are respectively tested under different working conditions, and the test results are compared with the preset experimental parameters or theoretical values to verify the accuracy of the basic model of the centrifugal pump and the homologous centrifugal pump model. After verifying the accuracy of the basic model of the centrifugal pump and the homologous centrifugal pump model, step 3 is performed, and the constructed simulation model of the centrifugal pump is tested, and the test results are compared with the experimental parameters or theoretical values to verify the accuracy of the simulation model of the centrifugal pump.
[0010] In a possible implementation, in the basic model of the centrifugal pump, the vapor-liquid mass conservation equation is as shown in Formula I:
[0011]
[0012] The vapor-liquid momentum conservation equation is as shown in Formula II:
[0013]
[0014] The vapor-liquid energy conservation equation is:
[0015]
[0016] Wherein, α represents volume percentage, ρ represents density, h represents enthalpy, u represents flow rate, F represents friction, p represents pressure, q represents heat transfer, g represents gravitational acceleration, subscript k represents vapor phase or liquid phase, subscript ik represents interface, subscript wk represents wall surface, Γ represents interface mass transfer, F a represents the action of an external force field, and Γ k , F wk , F ik , F a , q ik , q wk are respectively determined by the two-phase interfacial heat transfer equation, the two-phase wall heat transfer equation, the two-phase interfacial friction equation and the two-phase wall friction equation in the prior art.
[0017] The final mixed dynamic equation is obtained by fusing the vapor-liquid mass conservation equation, the vapor-liquid momentum conservation equation and the vapor-liquid energy conservation equation using the constitutive closure equation, and is as shown in Formula IV:
[0018]
[0019] Wherein, the superscript n represents the current time, the superscript n+1 represents the next time of the current time, the subscript g represents the vapor phase, the subscript f represents the liquid phase, L represents the front control body number, K represents the rear control body number, the subscript j represents the interface between L and K, Δx represents the control body length, Δt represents the time step, FWF represents the liquid phase wall friction, FWG represents the vapor phase wall friction, HLOSSG represents the vapor phase momentum loss, HLOSSF represents the liquid phase momentum loss, Bx represents the product of gravitational acceleration and the height difference between the pump inlet and outlet. Γ is determined by the two-phase interfacial friction equation and the two-phase wall friction equation k , FWF, FWG, HLOSSG, HLOSSF;
[0020] The formula five is added to the right side of the mixed momentum equation:
[0021]
[0022] The formula six and the formula seven are added to the right side of the formula three, respectively.
[0023]
[0024] Wherein, A represents the control body, that is, the flow area of the channel; H represents the height difference between the pump outlet and the inlet; Q represents the flow rate; τ represents the pump torque; ω represents the pump speed; and C represents the specific heat capacity.
[0025] In a possible implementation, the homologous centrifugal pump model is modeled for head-flow rate and energy-torque curves.
[0026] In a possible implementation, the centrifugal pump simulation model also inherits a water vapor property model and a constant package model, to realize mobilization calculation of water vapor physical properties and constants.
[0027] In a possible implementation, the centrifugal pump simulation model also defines interfaces between component models and between part models, wherein the interfaces include a standard fluid interface, a non-standard fluid interface, a thermal interface, a mechanical interface, and a speed interface, for transmitting physical variables including flow variables, potential variables, and Stream variables, and the flow variables and the potential variables at each interface satisfy the Kirchhoff law.
[0028] In a possible implementation, the standard fluid interface contains mass flow, pressure, specific enthalpy, and components of the fluid, for connection between thermal hydraulic systems, and the speed interface contains angular velocity, for speed input.
[0029] According to another aspect of the embodiments of the present disclosure, a device for modeling and simulating a centrifugal pump under multiple working conditions is provided, and the device comprises:
[0030] A first construction module is configured to receive a model construction request, and select a two-fluid six-equation construction centrifugal pump basic model from a preset model library, wherein the centrifugal pump basic model comprises a mixed dynamic equation obtained by fusing a vapor-liquid mass conservation equation, a vapor-liquid momentum conservation equation, and a vapor-liquid energy conservation equation using a constitutive closed equation.
[0031] A second construction module is configured to construct a dimensionless homologous centrifugal pump model according to a preset centrifugal pump characteristic curve.
[0032] an iteration module configured to perform iteration based on the homologous centrifugal pump model, and if the topological relationship between components in the iteration model meets the constraint relationship of the equations in the basic model of the centrifugal pump, the iteration model is taken as the simulation model of the centrifugal pump.
[0033] According to another aspect of the embodiments of the present disclosure, a device for modeling and simulation of a centrifugal pump under multiple working conditions is provided, and the device comprises:
[0034] a processor;
[0035] a memory for storing processor-executable instructions;
[0036] The processor is configured to perform the method described above.
[0037] According to another aspect of the embodiments of the present disclosure, a non-volatile computer-readable storage medium is provided, which stores computer program instructions, and the computer program instructions are executed by a processor to implement the method described above.
[0038] The method for modeling and simulation of a centrifugal pump under multiple working conditions provided by the present disclosure has the following beneficial effects: based on a received model construction request, a fluid six-equation model is selected to construct a centrifugal pump characteristic curve model, and a two-phase centrifugal pump model is constructed according to the two models and a preset topological structure mode between components. Before constructing the model, the basic model and the pump characteristic curve model are separately modeled. The constructed centrifugal pump model can realize simulation calculation of centrifugal pumps with different head and rated flow. BRIEF DESCRIPTION OF DRAWINGS
[0039] Figure 1 is a flowchart of a method for modeling and simulation of a centrifugal pump under multiple working conditions according to an embodiment of the present disclosure.
[0040] Figure 2 is an architectural schematic diagram of a method for modeling and simulation of a centrifugal pump under multiple working conditions according to an embodiment of the present disclosure.
[0041] Figure 3 is a block diagram of a device for modeling and simulation of a centrifugal pump under multiple working conditions according to an embodiment of the present disclosure. DETAILED DESCRIPTION
[0042] The present disclosure will be further described in detail below with reference to the accompanying drawings and specific embodiments.
[0043] Unless otherwise defined, technical and scientific terms used in the present disclosure have the same meaning as commonly understood by one of ordinary skill in the art to which this disclosure belongs; the terminology used in the present disclosure is for the purpose of describing particular embodiments only and is not intended to be limiting of the present disclosure; the use of the term "including," "comprising" or "having" in the present disclosure is meant to encompass the presence of one or more recited elements or steps and not the exclusion of any other integers or steps; clearly, the embodiments described in the present disclosure are only a part of the embodiments of the present disclosure, and not all the embodiments. Based on the embodiments in the present disclosure, all other embodiments obtained by those of ordinary skill in the art without creative efforts fall within the scope of the present disclosure.
[0044] Reference to "an embodiment" or "the embodiment" in this disclosure means that a particular feature, structure, or characteristic described in connection with the embodiment can be included in at least one embodiment of the disclosure. The appearances of the phrase "in an embodiment" or "in the embodiment" in various places in the specification are not necessarily all referring to the same embodiment, nor are they necessarily mutually exclusive or alternative embodiments. It is expressly understood that the embodiments described herein are merely examples from a whole class of embodiments of the disclosure and are presented for illustrative purpose only. It is therefore clear to one of ordinary skill in the art that the embodiments described herein in connection with the present disclosure can be combined with other embodiments.
[0045] Figure 1 is a flow chart of a modeling simulation method for a centrifugal pump under multiple working conditions according to an embodiment of the present disclosure. The method can be executed by a terminal device, which can be a server, a desktop computer, a notebook computer, etc. The type of the terminal device is not limited in the embodiments of the present disclosure. As shown in Figure 1 the method comprises:
[0046] Step 1, receiving a model construction request, and selecting a two-fluid six-equation to construct a basic model of a centrifugal pump from a preset model library, wherein the basic model of the centrifugal pump comprises a hybrid dynamic equation obtained by fusing a constitutive closed equation, a vapor-liquid mass conservation equation, a vapor-liquid momentum conservation equation and a vapor-liquid energy conservation equation.
[0047] Step 2, constructing a dimensionless homologous centrifugal pump model according to a preset characteristic curve of the centrifugal pump.
[0048] Step 3, iterating based on the homologous centrifugal pump model, and if the topological structure relationship between components in the iterated model meets the constraint relationship of each equation in the basic model of the centrifugal pump, taking the iterated model as a simulation model of the centrifugal pump.
[0049] In a possible implementation, the centrifugal pump basic model and the homologous centrifugal pump model can be respectively tested under different working conditions, and the test results are compared with the preset experimental parameters or theoretical values to verify the accuracy of the centrifugal pump basic model and the homologous centrifugal pump model. After verifying the accuracy of the centrifugal pump basic model and the homologous centrifugal pump model, step 3 is performed, and the centrifugal pump simulation model constructed is tested, and the test results are compared with the experimental parameters or theoretical values to verify the accuracy of the centrifugal pump simulation model.
[0050] In a possible implementation, the centrifugal pump basic model respectively establishes mass, momentum and energy conservation equation models for the gas-liquid two-phase, and adds a constitutive closed equation to enable the conservation equation to be closed for solving. The centrifugal pump basic model based on the two-fluid six-equation model considers the different physical properties, flow rates, temperatures of the gas and liquid phases, and the mass, energy and momentum exchange between the two phases in the actual two-phase fluid flow process. In the centrifugal pump basic model, the gas-liquid mass conservation equation is as shown in Equation One:
[0051]
[0052] The gas-liquid momentum conservation equation is as shown in Equation Two:
[0053]
[0054] The gas-liquid energy conservation equation is:
[0055]
[0056] Wherein, α represents the volume percentage, ρ represents the density, h represents the enthalpy, u represents the flow rate, F represents the friction, p represents the pressure, q represents the heat transfer, g represents the gravitational acceleration, the subscript k represents the gas phase or the liquid phase, the subscript ik represents the interface, the subscript wk represents the wall surface, Γ represents the interface mass transfer, F a represents the action of the external force field, and Γ k , F wk , F ik , F a , q ik , q wk are respectively determined by the two-phase interfacial heat transfer equation, the two-phase wall surface heat transfer equation, the two-phase interfacial friction equation and the two-phase wall surface friction equation in the prior art.
[0057] In a possible implementation, the centrifugal pump basic model and the homologous centrifugal pump model are modeled based on the Modelica language, and the homologous centrifugal pump model is modeled for the head-flow and energy-torque curves.
[0058] The final hybrid power equation is obtained by fusing the gas-liquid mass conservation equation, the gas-liquid momentum conservation equation and the gas-liquid energy conservation equation using the constitutive closed equation, and is as shown in Equation Four:
[0059]
[0060] wherein: superscript n represents current time, superscript n+1 represents next time of current time, subscript g represents vapor phase, subscript f represents liquid phase, L represents front control body number, K represents rear control body number, subscript j represents interface between L and K, Δx represents control body length, Δt represents time step, FWF represents liquid phase wall friction, FWG represents vapor phase wall friction, HLOSSG represents vapor phase momentum loss, HLOSSF represents liquid phase momentum loss, B x represents product of gravitational acceleration and pump inlet-outlet height difference. Γ k , FWF, FWG, HLOSSG, HLOSSF are determined by calculation through two-phase interphase friction equation and two-phase wall friction equation.
[0061] Formula five is added to the right side of the mixed momentum equation:
[0062]
[0063] Formula six and formula seven are added to the right side of the formula three equation respectively.
[0064]
[0065] wherein, A represents control body, i.e. channel flow area; H represents pump inlet-outlet height difference; Q represents flow rate; τ represents pump torque; ω represents pump rotation speed; C represents specific heat capacity.
[0066] In a possible implementation, the centrifugal pump simulation model also inherits the water vapor property model and the constant package model, to realize mobilization calculation of water vapor physical properties and constants.
[0067] In a possible implementation, the centrifugal pump simulation model also defines interfaces between component models and between part models, wherein the interfaces include standard fluid interfaces, non-standard fluid interfaces, thermal interfaces, mechanical interfaces, for transmitting physical variables, the physical variables including flow variables (such as velocity, etc.), potential variables (such as pressure, etc.) and Stream variables, etc., the flow variables and potential variables at each interface satisfy Kirchhoff's law, by adding the interfaces in the centrifugal pump simulation model, the centrifugal pump simulation model can interact with other models, thereby integrated into a simulation model at a complex system level, expanding the application value of the centrifugal pump model.
[0068] For example, the standard fluid interface contains mass flow, pressure, specific enthalpy, component of fluid, for connection between common thermal hydraulic, the rotation speed interface usually contains angular velocity, for rotation speed input, etc., as shown in the following table:
[0069] Table 1 standard fluid interface design
[0070]
[0071] The modeling simulation method for centrifugal pumps under multiple working conditions provided by the present disclosure can convert the physical model corresponding to each basic model into a mathematical model in the form of equation expression by using the statement modeling method. Meanwhile, the existing two-fluid six-equation model and water vapor property model are inherited, thereby reducing the modeling difficulty and improving the modeling efficiency.
[0072] In a possible implementation, a device for modeling simulation of centrifugal pumps under multiple working conditions is provided, and the device comprises:
[0073] A first construction module is configured to receive a model construction request, and select a two-fluid six-equation construction centrifugal pump basic model from a preset model library, wherein the centrifugal pump basic model comprises a hybrid dynamic equation obtained by fusing a constitutive closed equation, a vapor-liquid mass conservation equation, a vapor-liquid momentum conservation equation and a vapor-liquid energy conservation equation.
[0074] A second construction module is configured to construct a dimensionless homologous centrifugal pump model according to a preset centrifugal pump characteristic curve.
[0075] An iteration module is configured to perform iteration based on the homologous centrifugal pump model, and if the topological structure relationship between components in the model after iteration meets the constraint relationship of each equation in the centrifugal pump basic model, the model after iteration is taken as a centrifugal pump simulation model.
[0076] The above description of the device has been described in detail in the description of the above method, and will not be repeated here.
[0077] Figure 3 is a block diagram of a device for modeling simulation of centrifugal pumps under multiple working conditions according to an embodiment of the present disclosure. For example, the device 1900 can be provided as a server. Referring to Figure 3 , the device 1900 comprises a processing assembly 1922, which further comprises one or more processors, and a memory resource represented by a memory 1932, for storing instructions executable by the processing assembly 1922, such as an application program. The application program stored in the memory 1932 can comprise one or more than one module each corresponding to a set of instructions. In addition, the processing assembly 1922 is configured to execute the instructions to perform the above method.
[0078] The apparatus 1900 can also include a power supply component 1926 configured to supply power to the apparatus 1900, a wired or wireless network interface 1950 configured to connect the apparatus 1900 to a network, and an input output (I / O) interface 1958. The apparatus 1900 can operate based on an operating system stored in the memory 1932, such as Windows Server™, Mac OS X™, Unix™, Linux™, FreeBSD™, or the like.
[0079] In an exemplary embodiment, a non-transitory computer readable storage medium, such as the memory 1932 including computer program instructions, is also provided, which can be executed by the processing component 1922 of the apparatus 1900 to implement the above method.
[0080] The present disclosure can be a system, a method, and / or a computer program product. The computer program product can include a computer readable storage medium (or media) having computer readable program instructions thereon for causing a processor to carry out aspects of the present disclosure.
[0081] The computer readable storage medium can be a tangible device that can retain and store instructions for use by an instruction execution device. The computer readable storage medium can be, for example, but is not limited to, an electronic storage device, a magnetic storage device, an optical storage device, an electromagnetic storage device, a semiconductor storage device, or any suitable combination of the foregoing. More specific examples (a non-exhaustive list) of the computer readable storage medium include the following: a portable computer diskette, a hard disk, a random access memory (RAM), a read-only memory (ROM), an erasable programmable read-only memory (EPROM or Flash memory), a static random access memory (SRAM), a portable compact disc read-only memory (CD-ROM), a digital versatile disk (DVD), a memory stick, a floppy disk, a mechanically encoded device such as punch-cards or punched tape, a
[0082] The computer-readable program instructions described herein can be downloaded from a computer-readable storage medium to each computing / processing device, or downloaded to an external computer or external storage device via a network, such as the Internet, a local area network, a wide area network, and / or a wireless network. The network can include copper transmission cables, fiber optic transmission, wireless transmission, routers, firewalls, switches, gateway computers, and / or edge servers. The network adapter card or network interface in each computing / processing device receives the computer-readable program instructions from the network and forwards the computer-readable program instructions to be stored in the computer-readable storage medium in each computing / processing device.
[0083] The computer program instructions for performing the operations of the present disclosure may be assembly instructions, instruction set architecture (ISA) instructions, machine instructions, machine-dependent instructions, microcode, firmware instructions, state setting data, or source code or object code written in any combination of one or more programming languages, including object-oriented programming languages such as Smalltalk, C++, and conventional procedural programming languages such as "C" language or similar programming languages. Computer-readable program instructions may be executed entirely on a user's computer, partially on a user's computer, as an independent software package, partially on a user's computer, partially on a remote computer, or entirely on a remote computer or server. In the case of a remote computer, the remote computer may be connected to the user's computer via any type of network, including a local area network (LAN) or a wide area network (WAN), or may be connected to an external computer (e.g., utilizing an Internet service provider to connect via the Internet). In some embodiments, an electronic circuit, such as a programmable logic circuit, a field programmable gate array (FPGA), or a programmable logic array (PLA), may be personalized by utilizing the state information of the computer-readable program instructions. The electronic circuit may execute the computer-readable program instructions, thereby realizing various aspects of the present disclosure.
[0084] Various aspects of the present disclosure are described herein with reference to flowcharts and / or block diagrams of methods, apparatus (systems), and computer program products according to embodiments of the present disclosure. It should be understood that each block of the flowcharts and / or block diagrams, and combinations of blocks in the flowcharts and / or block diagrams, can be implemented by computer-readable program instructions.
[0085] These computer-readable program instructions can be provided to a processor of a general-purpose computer, a special-purpose computer, or other programmable data processing device, thereby producing a machine, so that when these instructions are executed by the processor of the computer or other programmable data processing device, a device is generated that implements the functions / actions specified in one or more blocks in the flowchart and / or block diagram. These computer-readable program instructions can also be stored in a computer-readable storage medium, where these instructions cause the computer, programmable data processing device, and / or other device to operate in a specific manner. Thus, the computer-readable medium storing the instructions comprises an article of manufacture that includes instructions for implementing various aspects of the functions / actions specified in one or more blocks in the flowchart and / or block diagram.
[0086] Computer-readable program instructions may also be loaded onto a computer, other programmable data processing apparatus, or other device so that a series of operational steps are performed on the computer, other programmable data processing apparatus, or other device to produce a computer-implemented process, thereby causing the instructions executed on the computer, other programmable data processing apparatus, or other device to implement the functions / actions specified in one or more blocks in the flowchart and / or block diagram.
[0087] The flow charts and block diagrams in the accompanying drawings show the possible architecture, functions and operations of the systems, methods and computer program products according to multiple embodiments of the present disclosure. In this regard, each box in the flow chart or block diagram can represent a part of a module, program segment or instruction, and the part of the module, program segment or instruction contains one or more executable instructions for realizing the prescribed logical function. In some alternative implementations, the functions marked in the box can also occur in a sequence different from that marked in the accompanying drawings. For example, two consecutive boxes can actually be executed substantially in parallel, and they can sometimes be executed in the opposite order, depending on the functions involved. It should also be noted that each box in the block diagram and / or flow chart, and the combination of the boxes in the block diagram and / or flow chart can be implemented by a dedicated hardware-based system that performs the prescribed function or action, or can be implemented by a combination of dedicated hardware and computer instructions.
[0088] While various embodiments of the present disclosure have been described above, the above descriptions are illustrative, non-exhaustive, and not intended to be limiting of the disclosed embodiments. Many modifications and variations will be apparent to those skilled in the art without departing from the scope and spirit of the described embodiments. The terminology used herein is selected to best explain the principles of the embodiments, their practical applications, or improvements to existing technologies, or to enable others skilled in the art to understand the embodiments disclosed herein.
Claims
1. A centrifugal pump modeling and simulation method under multiple working conditions, characterized in that: The method comprises: Step 1: Receive a model building request and select two-fluid six equations from a preset model library to build a basic centrifugal pump model. The basic centrifugal pump model includes a hybrid power equation obtained by fusing the vapor-liquid mass conservation equation, the vapor-liquid momentum conservation equation, and the vapor-liquid energy conservation equation using a constitutive closed-loop equation. Step 2: constructing a dimensionless homologous centrifugal pump model according to a preset centrifugal pump characteristic curve; Step 3: Iterate based on the homologous centrifugal pump model. If the topological structure relationship between the components in the iterative model meets the constraint relationship of each equation in the centrifugal pump basic model, the iterative model is used as the centrifugal pump simulation model.
2. The method according to claim 1, characterized in that The basic centrifugal pump model and the homologous centrifugal pump model are tested under different working conditions respectively, and the test results are compared with the preset experimental parameters or theoretical values to verify the accuracy of the basic centrifugal pump model and the homologous centrifugal pump model; after verifying the accuracy of the basic centrifugal pump model and the homologous centrifugal pump model, execute step 3 and test the constructed centrifugal pump simulation model, and compare the test results with the experimental parameters or theoretical values to verify the accuracy of the centrifugal pump simulation model.
3. The method according to claim 1, characterized in that In the basic model of a centrifugal pump, the vapor-liquid mass conservation equation is shown in Equation 1: The vapor-liquid momentum conservation equation is shown in Equation 2: Vapor-liquid energy conservation equation: Where α represents volume percentage, ρ represents density, h represents enthalpy, u represents flow velocity, F represents friction, p represents pressure, q represents heat transfer, g represents acceleration due to gravity, subscript k represents vapor phase or liquid phase, subscript ik represents interface, subscript wk represents wall, Γ represents interfacial mass transfer, and F a Represents the effect of the external force field, and Γ is determined by the two-phase heat transfer equation, the two-phase wall heat transfer equation, the two-phase friction equation, and the two-phase wall friction equation in the prior art. k 、F wk 、F ik 、F a ,q ik ,q wk ; The final hybrid power equation is obtained by integrating the vapor-liquid mass conservation equation, the vapor-liquid momentum conservation equation, and the vapor-liquid energy conservation equation using the constitutive closed equation as shown in Equation 4: Where: superscript n represents the current moment, superscript n+1 represents the next moment after the current moment, subscript g represents the vapor phase, subscript f represents the liquid phase, L represents the number of the front control body, K represents the number of the back control body, subscript j represents the interface between L and K, Δx represents the length of the control body, Δt represents the time step, FWF represents the liquid phase wall friction, FWG represents the vapor phase wall friction, HLOSSG represents the vapor phase momentum loss, HLOSSF represents the liquid phase momentum loss, B x Represents the product of the acceleration of gravity and the height difference between the pump inlet and outlet; Γ is determined by calculating the friction equation between the two phases and the friction equation between the two phases. k ,FWF,FWG,HLOSSG,HLOSSF; Add Equation 5 to the right side of the mixed momentum equation: Add formula six and seven to the right side of formula three; Among them, A represents the control volume, i.e., the flow area of the channel; H represents the height difference between the pump outlet and the pump inlet; Q represents the flow rate; τ represents the pump torque; ω represents the pump speed; and C represents the specific heat capacity.
4. The method according to claim 1, wherein The homologous centrifugal pump model is modeled based on the head flow and energy torque curves.
5. The method according to claim 1, wherein The centrifugal pump simulation model also inherits the water vapor physical property model and constant encapsulation model to realize the mobilization calculation of water vapor physical properties and constants.
6. The method according to claim 1, characterized in that The centrifugal pump simulation model also defines interfaces between component models and between part models. The interfaces include standard fluid interfaces, non-standard fluid interfaces, thermal interfaces, mechanical interfaces, and speed interfaces, which are used to transmit physical variables. Physical variables include flow variables, potential variables, and stream variables. The flow variables and potential variables at each interface satisfy Kirchhoff's law.
7. The method according to claim 6, characterized in that The standard fluid interface includes the fluid's mass flow rate, pressure, specific enthalpy, and composition, and is used for connections between thermal and hydraulic systems. The speed interface includes the angular velocity and is used for speed input.
8. A centrifugal pump modeling and simulation device under multiple working conditions, characterized in that: The device comprises: A first construction module is configured to receive a model construction request and select two fluid six equations from a preset model library to construct a basic centrifugal pump model, wherein the basic centrifugal pump model includes a hybrid power equation obtained by fusing the vapor-liquid mass conservation equation, the vapor-liquid momentum conservation equation, and the vapor-liquid energy conservation equation using a constitutive closed-loop equation; A second construction module is used to construct a dimensionless homologous centrifugal pump model according to a preset centrifugal pump characteristic curve; The iteration module is used to iterate based on the homologous centrifugal pump model. If the topological structure relationship between the components in the iterative model meets the constraint relationship of each equation in the centrifugal pump basic model, the iterative model is used as the centrifugal pump simulation model.
9. A centrifugal pump modeling and simulation device under multiple working conditions, characterized in that: The device comprises: processor; a memory for storing processor-executable instructions; The processor is configured to execute the method according to any one of claims 1 to 7.
10. A non-volatile computer-readable storage medium having computer program instructions stored thereon, characterized in that: When the computer program instructions are executed by a processor, the method according to any one of claims 1 to 7 is implemented.
Citation Information
Cited By
Thermal fluid simulation method, device, equipment, storage medium and program product
CN121351711A